A hollow sphere of internal and external radii 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.

Explanation

Let the height of the cone be h cm.
`4/3pixx(4^3-2^3)=1/3xxpixx4^2xxh`
`=>4xx56=16h`
`h=14cm`
Now , `l=sqrt(r^2+h^2)`
`=>l=sqrt(4^2+14^2)=14.56cm`